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Find the first five terms of the sequenc...

Find the first five terms of the sequence whose general term is given by
`a_(n) = 1 + (1)/(2) + (1)/(3) + …+ (1)/(n)`

Text Solution

Verified by Experts

Given `a_(n) = 1 + (1)/(2) + (1)/(3) + …+ (1)/(n)`
Substituting n = 1, 2,3,4 and 5 , we get
`a_(1) = (1)/(1) = 1 `
`a_(2) = (1)/(1) + (1)/(2) = (3)/(2)`
`a_(3) = (1)/(1) + (1)/(2) + (1)/(3) = (11)/(6)`
`a_(4) = (1)/(1) + (1)/(2) + (1)/(3) + (1)/(4) = (25)/(12)`
`a_(5) = (1)/(1) + (1)/(2) + (1)/(3) + (1)/(4) + (1)/(5) = (137)/(60)`
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